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A015606
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a(n) = 11 a(n-1) + 10 a(n-2).
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0
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0, 1, 11, 131, 1551, 18371, 217591, 2577211, 30525231, 361549651, 4282298471, 50720779691, 600751561311, 7115474971331, 84277740297751, 998209892988571, 11823086225851791, 140036047414255411
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n)=(1/161)*[11/2+(1/2)*sqrt(161)]^n*sqrt(161)-(1/161)*sqrt(161)*[11/2-(1/2)*sqrt(161)]^n, with n>=0 - Paolo P. Lava (paoloplava(AT)gmail.com), Jul 09 2008
G.f.:1/(1-11*x-10*x^2) . [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2009]
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MATHEMATICA
| Join[{a=0, b=1}, Table[c=11*b+10*a; a=b; b=c, {n, 60}]] (*From Vladimir Joseph Stephan Orlovsky, Jan 31 2011*)
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PROG
| (Other) sage: [lucas_number1(n, 11, -10) for n in xrange(0, 18)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2009]
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CROSSREFS
| Sequence in context: A185127 A076255 A076357 * A077417 A082148 A075509
Adjacent sequences: A015603 A015604 A015605 * A015607 A015608 A015609
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KEYWORD
| nonn,easy
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
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